2. \( y=(5 x-2) \)
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Mind Expander
Did you know that linear equations like \( y = (5x - 2) \) represent straight lines on a graph? The number 5 is the slope, which tells us how steep the line is, while -2 is the y-intercept, indicating where the line crosses the y-axis. It's like drawing a ladder where every step up or down depends on those two values! In the real world, you can find such equations in various situations, such as predicting costs or calculating distances. For example, if \( x \) represents the number of hours worked, your equation could help you figure out how much you'd earn after \( x \) hours at a pay rate equivalent to the slope and starting with a certain amount, like a signing bonus represented by the intercept!